λ
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Atlas › Integer Profiles › Node 40,134,370

40,134,370

2 × 5 × 79 × 101 × 503
Deficient Even Composite

40,134,370 factors as 2 × 5 × 79 × 101 × 503. Its 32 positive divisors give a proper-divisor sum of 33,893,150, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 5 × 79 × 101 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,027,520
Proper Divisor Sum 33,893,150
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #40134319 ← → #40134371

Radix Representation

Decimal 40134370
Binary 10011001000110011011100010 (26 bits)
Octal 0o231063342
Hexadecimal 0x26466E2

Divisor Catalog (32)

1 2 5 10 79 101 158 202 395 503 505 790 1,006 1,010 2,515 5,030 7,979 15,958 39,737 39,895 50,803 79,474 79,790 101,606 198,685 254,015 397,370 508,030 4,013,437 8,026,874 20,067,185 40,134,370

Collatz Trajectory (284 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,134,370 20,067,185 60,201,556 30,100,778 15,050,389 45,151,168 22,575,584 11,287,792 5,643,896 2,821,948 1,410,974 705,487 2,116,462 1,058,231 3,174,694 1,587,347 4,762,042 2,381,021 7,143,064 3,571,532 1,785,766 892,883 2,678,650 1,339,325 4,017,976 2,008,988 1,004,494 502,247 1,506,742 753,371 2,260,114 1,130,057 3,390,172 1,695,086 847,543 2,542,630 1,271,315 3,813,946 1,906,973 5,720,920 2,860,460 1,430,230 715,115 2,145,346 1,072,673 3,218,020 1,609,010 804,505 2,413,516 1,206,758 603,379 1,810,138 905,069 2,715,208 1,357,604 678,802 339,401 1,018,204 509,102 254,551

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